Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 173, 680, 974, 373 i.e. 1 largest integer that divides all the numbers equally.
GCD of 173, 680, 974, 373 is 1
GCD(173, 680, 974, 373) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 173, 680, 974, 373 is 1
GCD(173, 680, 974, 373) = 1
Given Input numbers are 173, 680, 974, 373
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Greatest Common Divisior
We found the divisors of 173, 680, 974, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 173, 680, 974, 373 is 1.
Therefore, GCD of numbers 173, 680, 974, 373 is 1
Given Input Data is 173, 680, 974, 373
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 173 is 173
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 974 is 2 x 487
Prime Factorization of 373 is 373
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(173, 680) = 117640
GCD(173, 680) = ( 173 x 680 ) / 117640
GCD(173, 680) = 117640 / 117640
GCD(173, 680) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 373) = 373
GCD(1, 373) = ( 1 x 373 ) / 373
GCD(1, 373) = 373 / 373
GCD(1, 373) = 1
GCD of 173, 680, 974, 373 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 173, 680, 974, 373?
GCD of 173, 680, 974, 373 is 1
2. Where do I get the detailed procedure to find GCD of 173, 680, 974, 373?
You can find a detailed procedure to find GCD of 173, 680, 974, 373 on our page.
3. How to find GCD of 173, 680, 974, 373 on a calculator?
You can find the GCD of 173, 680, 974, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.